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2D Fourier transfor m

2D Fourier transfor m. 2D Fourier transfor m is separable. Visualisation. Amplitud e Phase. B asis fun ctions of 2D FT. Real part, u=v. Rectangular pulse in 2D. Other important functions. Discrete convolution theorem. ... holds for periodic convolution only!.

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2D Fourier transfor m

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  1. 2D Fourier transform 2D Fourier transform is separable

  2. Visualisation Amplitude Phase

  3. Basis functionsof 2D FT Real part, u=v

  4. Rectangular pulse in 2D

  5. Other important functions

  6. Discrete convolution theorem ... holds for periodic convolution only!

  7. Discrete convolution via FT Zero padding to the same size DFT calculation of both Multiplication of the spectra Inverse DFT

  8. = Filtering in the Fourier domain high pass Gaussian high pass band pass low pass Gaussian low pass directional

  9. Discrete shift theorem

  10. What is more important? Amplitudeor phase?

  11. Image whitening original image “whitened” image

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